Two of us in [1]} adapted the analytic technique based on the complex coordinate WKB method developed by Andersson and Howls in [2]} to calculate the high overtone QNMs of Schwarzschild-AdS black holes in dimensions greater than three. In addition to confirming the previously obtained results by Natario and Schiappa, for large black holes in certain spacetime dimensions, we showed that the analytic monodromy technique implies the existence of an asymptotic region of the QNM spectrum where the real part of the QNM frequencies approaches infinity while the damping rate approaches a finite value. The interesting thing about these “highly real" modes is that they have a damping rate less than the least damped QNM found by Horowitz and Hubeny in [3]}. Therefore, assuming they exist, these modes will be the dominant modes in the context of the AdS/CFT correspondence. It was also shown by one of us in [4]} that the same highly real modes can also be obtained using the monodromy technique
developed by Natario and Schiappa in [5]}. The authors of [6]} searched for these highly real modes using two different numerical methods, power series
and time evolution, but they were not able to find them. Since the continued fraction method with Nollert's improvement has proven to be the most effective in searching for high overtone QNMs, we use it here to search for these modes.
